Home
Class 12
MATHS
Find all the tangents to the curve y=cos...

Find all the tangents to the curve `y=cos (x+y),-2 pi le x le 2 pi` that are parallel to the line `x+2y=0`.

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    NCERT BANGLISH|Exercise EXERCISE 6.1|18 Videos

  • APPLICATION OF DERIVATIVES

    NCERT BANGLISH|Exercise EXERCISE 6.2|23 Videos

  • APPLICATION OF INTEGRALS

    NCERT BANGLISH|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

find all the tangents to the curve y=cos(x+y),-2pilexle2pi that are parallel to the line x+2y=0

Find the equation of the tangent to the curve y= sqrt(5x-3)-2 , which is parallel to the line 4x-2y+3=0

Find the equation of the tangent to the curve y= sqrt(3x-2) which is parallel to the line 4x-2y+5=0.

Find the equation of the tangent line to the curve y = x^(2) – 2x +7 which is (a) parallel to the line 2x – y + 9 = 0 (b) perpendicular to the line 5y – 15x = 13.

Find the equation of the tangnet to the curve y=sqrt(3x-2) which is parallel to the line 4x-2y+5=0

Find the equations of the tangents to the ellipse 2x^2 + 3y^2 = 30 , which are parallel to the straight line x + y + 18 = 0.

Using Rolle's theorem, find the point on the curve f(x)=(1-cosx)" in " 0 le x le 2pi where the tangent is parallel to x-axis.

Find the points on the curve x^(2) + y^(2) – 2x – 3 = 0 at which the tangents are parallel to the x-axis.

Find the equation of the tangent to the ellipse 2x^(2)+3y^(2)=30 , which are parallel to the straight line x+y+18=0

Find the area bounded by the curve y = cos x between x = 0 and x = 2pi

NCERT BANGLISH-APPLICATION OF DERIVATIVES-EXERCISE 6.6
  1. Find all the tangents to the curve y=cos (x+y),-2 pi le x le 2 pi that...

    Text Solution

    |

  2. Using differentials, find the approximate value of each of the followi...

    Text Solution

    |

  3. Show that the function given by f(x) =(logx)/(x) has maximum at x = e.

    Text Solution

    |

  4. The two equal sides of an isosceles triangle with fixed base b are dec...

    Text Solution

    |

  5. Find the equation of the normal to curve x^(2) = 4y which passes throu...

    Text Solution

    |

  6. Show that the normal at any point θ to the curve x = a costheta + a th...

    Text Solution

    |

  7. Find the intervals in which the function f given by f(x)=(4sinx-2x-xc...

    Text Solution

    |

  8. Find the intervals in which the function f given by f(x) =x^(3) +(1)/(...

    Text Solution

    |

  9. Find the maximum area of an isosceles triangle inscribed in the ellips...

    Text Solution

    |

  10. A tank with rectangular base and rectangular sides, open at the top is...

    Text Solution

    |

  11. The sum of the perimeter of a circle and square is k, where k is some ...

    Text Solution

    |

  12. A window is in the form of a rectangle surmounted by a semicircular...

    Text Solution

    |

  13. A point on the hypotenuse of a triangle is at distance a and b from th...

    Text Solution

    |

  14. Find the points at which the function f given by f (x) = (x-2)^(4)(x+1...

    Text Solution

    |

  15. Find the absolute maximum and minimum values of the function f given b...

    Text Solution

    |

  16. Show that the height of the cylinder of maximum volume that can be ...

    Text Solution

    |

  17. Let f be a function defined on [a, b] such that f ′(x) gt 0, for all x...

    Text Solution

    |

  18. Show that the height of the cylinder of maximum volume that can be ...

    Text Solution

    |

  19. Show that height of the cylinder of greatest volume which can be in...

    Text Solution

    |

  20. A cylindrical tank of radius 10 m is being filled with wheat at the ra...

    Text Solution

    |

  21. The slope of the tangent to the curve x=t^(2)+3t-8,y=2t^(2)-2t-5 at th...

    Text Solution

    |